Operator functions and localization of spectra
Author(s)
Bibliographic Information
Operator functions and localization of spectra
（Lecture notes in mathematics, 1830）
Springer-Verlag, c2003
Available at / 63 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||183003065076
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INTERNATIONAL CHRISTIAN UNIVERSITY LIBRARY図
V.1830410.8/L507/v.183006035060,
410.8/L507/v.183006035060 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:515/G732070600451
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
Operator Functions and Localization of Spectra is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications.
Table of Contents
Preface.- Preliminaries.- Norms of Matrix-Valued Functions.- Invertibility of Finite Matrices.- Localization of Eigenvalues of Finite Matrices.- Block Matrices and pi-triangular Matrices.- Norm Estimates for Functions.- Functions of Non-Compact Operators.- Bounded Perturbations of Nonself-Adjoint Operators.- Spectrum Localization of Nonself-Adjoint Operators.- Multiplicative Representations of Resolvents.- Relatively $P$-triangular Operators.- Relatively Compact Perturbations of Normal Operators.- Infinite Matrices in Hilbert Spaces and Differential Operators.- Integral Operators in L2.- Operator Matrices.- Hille - Tamarkin Integral Operators.- Integral Operators in L8.- Hille - Tamarkin Matrices.- Zeros of Entire Functions.- List of Main Symbols.- Index.
by "Nielsen BookData"